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"""
Tests the input parsing for opt_einsum. Duplicates the np.einsum input tests.
"""
from typing import Any, List
import pytest
from opt_einsum import contract, contract_path
from opt_einsum.typing import ArrayType
np = pytest.importorskip("numpy")
def build_views(string: str) -> List[ArrayType]:
"""Builds random numpy arrays for testing by using a fixed size dictionary and an input string."""
chars = "abcdefghij"
sizes_array = np.array([2, 3, 4, 5, 4, 3, 2, 6, 5, 4])
sizes = dict(zip(chars, sizes_array))
views = []
string = string.replace("...", "ij")
terms = string.split("->")[0].split(",")
for term in terms:
dims = [sizes[x] for x in term]
views.append(np.random.rand(*dims))
return views
def test_type_errors() -> None:
# subscripts must be a string
with pytest.raises(TypeError):
contract(0, 0)
# out parameter must be an array
with pytest.raises(TypeError):
contract("", 0, out="test")
# order parameter must be a valid order
# changed in Numpy 1.19, see https://github.com/numpy/numpy/commit/35b0a051c19265f5643f6011ee11e31d30c8bc4c
with pytest.raises((TypeError, ValueError)):
contract("", 0, order="W") # type: ignore
# casting parameter must be a valid casting
with pytest.raises(ValueError):
contract("", 0, casting="blah") # type: ignore
# dtype parameter must be a valid dtype
with pytest.raises(TypeError):
contract("", 0, dtype="bad_data_type")
# other keyword arguments are rejected
with pytest.raises(TypeError):
contract("", 0, bad_arg=0)
# issue 4528 revealed a segfault with this call
with pytest.raises(TypeError):
contract(*(None,) * 63)
# Cannot have two ->
with pytest.raises(ValueError):
contract("->,->", 0, 5)
# Undefined symbol lhs
with pytest.raises(ValueError):
contract("&,a->", 0, 5)
# Undefined symbol rhs
with pytest.raises(ValueError):
contract("a,a->&", 0, 5)
with pytest.raises(ValueError):
contract("a,a->&", 0, 5)
# Catch ellipsis errors
string = "...a->...a"
views = build_views(string)
# Subscript list must contain Ellipsis or (hashable && comparable) object
with pytest.raises(TypeError):
contract(views[0], [Ellipsis, 0], [Ellipsis, ["a"]])
with pytest.raises(TypeError):
contract(views[0], [Ellipsis, {}], [Ellipsis, "a"])
@pytest.mark.parametrize("contract_fn", [contract, contract_path])
def test_value_errors(contract_fn: Any) -> None:
with pytest.raises(ValueError):
contract_fn("")
# subscripts must be a string
with pytest.raises(TypeError):
contract_fn(0, 0)
# invalid subscript character
with pytest.raises(ValueError):
contract_fn("i%...", [0, 0])
with pytest.raises(ValueError):
contract_fn("...j$", [0, 0])
with pytest.raises(ValueError):
contract_fn("i->&", [0, 0])
with pytest.raises(ValueError):
contract_fn("")
# number of operands must match count in subscripts string
with pytest.raises(ValueError):
contract_fn("", 0, 0)
with pytest.raises(ValueError):
contract_fn(",", 0, [0], [0])
with pytest.raises(ValueError):
contract_fn(",", [0])
# can't have more subscripts than dimensions in the operand
with pytest.raises(ValueError):
contract_fn("i", 0)
with pytest.raises(ValueError):
contract_fn("ij", [0, 0])
with pytest.raises(ValueError):
contract_fn("...i", 0)
with pytest.raises(ValueError):
contract_fn("i...j", [0, 0])
with pytest.raises(ValueError):
contract_fn("i...", 0)
with pytest.raises(ValueError):
contract_fn("ij...", [0, 0])
# invalid ellipsis
with pytest.raises(ValueError):
contract_fn("i..", [0, 0])
with pytest.raises(ValueError):
contract_fn(".i...", [0, 0])
with pytest.raises(ValueError):
contract_fn("j->..j", [0, 0])
with pytest.raises(ValueError):
contract_fn("j->.j...", [0, 0])
# invalid subscript character
with pytest.raises(ValueError):
contract_fn("i%...", [0, 0])
with pytest.raises(ValueError):
contract_fn("...j$", [0, 0])
with pytest.raises(ValueError):
contract_fn("i->&", [0, 0])
# output subscripts must appear in input
with pytest.raises(ValueError):
contract_fn("i->ij", [0, 0])
# output subscripts may only be specified once
with pytest.raises(ValueError):
contract_fn("ij->jij", [[0, 0], [0, 0]])
# dimensions much match when being collapsed
with pytest.raises(ValueError):
contract_fn("ii", np.arange(6).reshape(2, 3))
with pytest.raises(ValueError):
contract_fn("ii->i", np.arange(6).reshape(2, 3))
# broadcasting to new dimensions must be enabled explicitly
with pytest.raises(ValueError):
contract_fn("i", np.arange(6).reshape(2, 3))
with pytest.raises(TypeError):
contract_fn("ij->ij", [[0, 1], [0, 1]], bad_kwarg=True)
@pytest.mark.parametrize(
"string",
[
# Ellipse
"...a->...",
"a...->...",
"a...a->...a",
"...,...",
"a,b",
"...a,...b",
],
)
def test_compare(string: str) -> None:
views = build_views(string)
ein = contract(string, *views, optimize=False)
opt = contract(string, *views)
assert np.allclose(ein, opt)
opt = contract(string, *views, optimize="optimal")
assert np.allclose(ein, opt)
def test_ellipse_input1() -> None:
string = "...a->..."
views = build_views(string)
ein = contract(string, *views, optimize=False)
opt = contract(views[0], [Ellipsis, 0], [Ellipsis])
assert np.allclose(ein, opt)
def test_ellipse_input2() -> None:
string = "...a"
views = build_views(string)
ein = contract(string, *views, optimize=False)
opt = contract(views[0], [Ellipsis, 0])
assert np.allclose(ein, opt)
def test_ellipse_input3() -> None:
string = "...a->...a"
views = build_views(string)
ein = contract(string, *views, optimize=False)
opt = contract(views[0], [Ellipsis, 0], [Ellipsis, 0])
assert np.allclose(ein, opt)
def test_ellipse_input4() -> None:
string = "...b,...a->..."
views = build_views(string)
ein = contract(string, *views, optimize=False)
opt = contract(views[0], [Ellipsis, 1], views[1], [Ellipsis, 0], [Ellipsis])
assert np.allclose(ein, opt)
def test_singleton_dimension_broadcast() -> None:
# singleton dimensions broadcast (gh-10343)
p = np.ones((10, 2))
q = np.ones((1, 2))
ein = contract("ij,ij->j", p, q, optimize=False)
opt = contract("ij,ij->j", p, q, optimize=True)
assert np.allclose(ein, opt)
assert np.allclose(opt, [10.0, 10.0])
p = np.ones((1, 5))
q = np.ones((5, 5))
for optimize in (True, False):
res1 = (contract("...ij,...jk->...ik", p, p, optimize=optimize),)
res2 = contract("...ij,...jk->...ik", p, q, optimize=optimize)
assert np.allclose(res1, res2)
assert np.allclose(res2, np.full((1, 5), 5))
def test_large_int_input_format() -> None:
string = "ab,bc,cd"
x, y, z = build_views(string)
string_output = contract(string, x, y, z)
int_output = contract(x, (1000, 1001), y, (1001, 1002), z, (1002, 1003))
assert np.allclose(string_output, int_output)
for i in range(10):
transpose_output = contract(x, (i + 1, i))
assert np.allclose(transpose_output, x.T)
def test_hashable_object_input_format() -> None:
string = "ab,bc,cd"
x, y, z = build_views(string)
string_output = contract(string, x, y, z)
hash_output1 = contract(x, ("left", "bond1"), y, ("bond1", "bond2"), z, ("bond2", "right"))
hash_output2 = contract(
x,
("left", "bond1"),
y,
("bond1", "bond2"),
z,
("bond2", "right"),
("left", "right"),
)
assert np.allclose(string_output, hash_output1)
assert np.allclose(hash_output1, hash_output2)
for i in range(1, 10):
transpose_output = contract(x, ("b" * i, "a" * i))
assert np.allclose(transpose_output, x.T)
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